λ
Harmonic Matrix

3,563,793

32 × 359 × 1103
Deficient Odd Composite

3,563,793 has digital root 9. The neighboring primes are 3563789 and 3563801; its proper-divisor sum differs from the starting integer by -1,960,866.

Prime Factor Structure

Factorization String 3^2 × 359 × 1103
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,166,720
Proper Divisor Sum 1,602,927
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3563789 ← → #3563801

Radix Representation

Decimal 3563793
Binary 1101100110000100010001 (22 bits)
Octal 0o15460421
Hexadecimal 0x366111

Divisor Catalog (12)

1 3 9 359 1,077 1,103 3,231 3,309 9,927 395,977 1,187,931 3,563,793

Collatz Trajectory (97 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,563,793 10,691,380 5,345,690 2,672,845 8,018,536 4,009,268 2,004,634 1,002,317 3,006,952 1,503,476 751,738 375,869 1,127,608 563,804 281,902 140,951 422,854 211,427 634,282 317,141 951,424 475,712 237,856 118,928 59,464 29,732 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629

More profiles

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